Answer : 29.5°
Given r = 10, q = 20, and Q = 100°
From the attached figure we can see that two sides and one angle is given
We use sine rule to find angle R
In triangle QRS
r = 10, q = 20, and Q = 100°
Replace all the values
=sin R
0.4932403876 = sin (R)
R=
R= 29.5 degrees
Answer
Find out the how many shorter pieces can a seamstress cut.
To prove
Let us assume that the number of shorter pieces cut be x.
As given
A seamstress has a piece of cloth that is 3 yards long.
she cuts it into shorter lengths of 16 inches each.
As
1 yards = 36 inches
Now convert 3 yards into inches.
= 3 × 36
= 108 yards
Than the equation becomes
16x = 108
x = 6.75
Therefore the number of shorter pieces be 6 .